Variational characterization of the critical curve for pinning of random polymers

DOI10.1214/11-AOP727zbMath1281.60083arXiv1005.3661OpenAlexW2118685130MaRDI QIDQ373544

Dimitris Cheliotis, W. Th. F. den Hollander

Publication date: 17 October 2013

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3661

zbMATH Keywords

critical temperaturelarge deviationlocalizationdisorderdelocalizationquenchedrandom chargesrandom polymer

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Large deviations (60F10) Critical phenomena in equilibrium statistical mechanics (82B27) Processes in random environments (60K37)

Related Items (12)

Hierarchical pinning model in correlated random environment ⋮ Copolymer with pinning: variational characterization of the phase diagram ⋮ Correction to: ``Quenched large deviation principle for words in a letter sequence ⋮ PINNING ON A DEFECT LINE: CHARACTERIZATION OF MARGINAL DISORDER RELEVANCE AND SHARP ASYMPTOTICS FOR THE CRITICAL POINT SHIFT ⋮ The critical curves of the random pinning and copolymer models at weak coupling ⋮ Path properties of the disordered pinning model in the delocalized regime ⋮ Pinning and disorder relevance for the lattice Gaussian free field ⋮ Pinning of a renewal on a quenched renewal ⋮ Pinning model in random correlated environment: appearance of an infinite disorder regime ⋮ Phase transitions for spatially extended pinning ⋮ The random pinning model with correlated disorder given by a renewal set ⋮ A copolymer near a selective interface: variational characterization of the free energy

Cites Work

• Disorder relevance at marginality and critical point shift
• The martingale approach to disorder irrelevance for pinning models
• Quenched large deviation principle for words in a letter sequence
• The effect of disorder on polymer depinning transitions
• A replica-coupling approach to disordered pinning models
• Disordered pinning models and copolymers: Beyond annealed bounds
• Pinning of polymers and interfaces by random potentials
• On the irrelevant disorder regime of pinning models
• Quenched and annealed critical points in polymer pinning models
• One-sided local large deviation and renewal theorems in the case of infinite mean
• Equality of critical points for polymer depinning transitions with loop exponent one
• Conditional large deviations for a sequence of words
• Random polymers
• Marginal relevance of disorder for pinning models
• Fractional moment bounds and disorder relevance for pinning models
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